Results 61 to 70 of about 12,553 (141)
A study of forced oscillations via Hilfer fractional derivative
CQD Revista Eletrônica Paulista de Matemática, 2022 The present study seeks to understand the forced oscillations through modeling via fractional differential equation, using the derivative according to Hilfer and representing the external force as a succession of delta Dirac functions.
Silas de Sá Cavalcanti Melo +1 more
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Fourth order quasi-compact difference schemes for (tempered) space fractional diffusion equations [PDF]
, 2014 The continuous time random walk (CTRW) underlies many fundamental processes in non-equilibrium statistical physics. When the jump length of CTRW obeys a power-law distribution, its corresponding Fokker-Planck equation has space fractional derivative ...
Deng, Weihua, Wu, Yujiang, Yu, Yanyan
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Euler–Lagrange equations for variational problems involving the Riesz–Hilfer fractional derivative
Journal of Taibah University for Science, 2020 In this paper, we obtain the Euler-Lagrange equations for different kind of variational problems with the Lagrangian function containing the Riesz-Hilfer fractional derivative.
A. G. Ibrahim, A. A. Elmandouh
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On Generalized Composite Fractional Derivative
Walailak Journal of Science and Technology, 2014 In the present paper, we define a generalized composite fractional derivative and obtain results, which include the image of power function, Laplace transform and composition of Riemann-Liouville fractional integral with the generalized composite ...
Mridula GARG +3 more
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Fractional Brownian motions ruled by nonlinear equations
, 2018 In this note we consider generalized diffusion equations in which the diffusivity coefficient is not necessarily constant in time, but instead it solves a nonlinear fractional differential equation involving fractional Riemann-Liouville time-derivative ...
Garra, Roberto +2 more
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On nonlocal problem with fractional Riemann-Liouville derivatives for a mixed-type equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017 The unique solvability is investigated for the problem of equation with partial fractional derivative of Riemann-Liouville and boundary condition that contains the generalized operator of fractional integro-differentiation. The uniqueness theorem for the
Anna V Tarasenko, Irina P Egorova
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On the Qualitative Analysis of Solutions of Two Fractional Order Fractional Differential Equations
MathematicsIn applied sciences, besides the importance of obtaining the analytical solutions of differential equations with constant coefficients, the qualitative analysis of the solutions of such equations is also very important.
Yasar Bolat +2 more
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Mathematics, 2019 The semigroup properties of the Riemann–Liouville fractional integral have played a key role in dealing with the existence of solutions to differential equations of fractional order.
Shuqin Zhang, Lei Hu
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Numerical Algorithms for the Fractional Diffusion-Wave Equation with Reaction Term
Abstract and Applied Analysis, 2013 Two numerical algorithms are derived to compute the fractional diffusion-wave equation with a reaction term. Firstly, using the relations between Caputo and Riemann-Liouville derivatives, we get two equivalent forms of the original equation, where we ...
Hengfei Ding, Changpin Li
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Abstract and Applied Analysis, 2014 The notion of uncertainty in groundwater hydrology is of great importance as it is known to result in misleading output when neglected or not properly accounted for. In this paper we examine this effect in groundwater flow models.
Abdon Atangana, S. C. Oukouomi Noutchie
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